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10042400031235 = 51113192199195511
BaseRepresentation
bin1001001000100010110110…
…1011111100001000000011
31022120001012010101000020121
42102020231223330020003
52304013313401444420
633205225340521111
72054353014561565
oct222105553741003
938501163330217
1010042400031235
113221a5a016050
12116234b550197
1357acc05079c0
1426a0aa367335
1512635c4aa2aa
hex9222dafc203

10042400031235 has 96 divisors (see below), whose sum is σ = 15017198515200. Its totient is φ = 6354794476800.

The previous prime is 10042400031229. The next prime is 10042400031247. The reversal of 10042400031235 is 53213000424001.

It is not a de Polignac number, because 10042400031235 - 215 = 10042399998467 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51267130 + ... + 51462640.

It is an arithmetic number, because the mean of its divisors is an integer number (156429151200).

Almost surely, 210042400031235 is an apocalyptic number.

10042400031235 is a deficient number, since it is larger than the sum of its proper divisors (4974798483965).

10042400031235 is a wasteful number, since it uses less digits than its factorization.

10042400031235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195777 (or 195758 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10042400031235 its reverse (53213000424001), we get a palindrome (63255400455236).

The spelling of 10042400031235 in words is "ten trillion, forty-two billion, four hundred million, thirty-one thousand, two hundred thirty-five".

Divisors: 1 5 11 13 19 55 65 95 143 199 209 247 361 715 995 1045 1235 1805 2189 2587 2717 3781 3971 4693 10945 12935 13585 18905 19855 23465 28457 41591 49153 51623 71839 142285 195511 207955 245765 258115 359195 540683 790229 933907 977555 2150621 2541643 2703415 3714709 3951145 4669535 10272977 10753105 12708215 18573545 27958073 38906689 40861799 48291217 51364885 70579471 139790365 194533445 204308995 241456085 352897355 427973579 505786957 531203387 739227091 776374181 917533123 2139867895 2528934785 2656016935 3696135455 3881870905 4587665615 5563656527 8131498001 9609952183 10092864353 14045314729 27818282635 40657490005 48049760915 50464321765 70226573645 105709474013 154498462019 182589091477 528547370065 772492310095 912945457385 2008480006247 10042400031235